Let g (x, y) ) = 11 sin(xy) — 13x² ln(y) + 20. Find the degree 2 polynomial, p, which best approximates g near the point (5,1). (Use symbolic notation and fractions where needed.)

Q: If F(x)=sin(7-x5-13-x³ +5-x). Calculate dF(x) = dx

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Q: By a result of Landau (1953), we know that every tournament has a king (a vertex from which every…

A: It is given that By a result of Landau (1953), we know that every tournament has a king (a vertex…

Q: Use the product rule to differentiate the function h, where a and b are real numbers. h(x) = e¯ax…

A: According to product rule, if f(x)=u(x)*v*x) then f’(x)=u(x)*v’(x)+v(x)*u(x).

Q: Evaluate § A² B³ dx where A = sin(f(x)), B = cos(g(x)), and f(x) = g(x) = 4x.

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Q: Given the functions fz) = 3* and g(x) = sin x, determine the domain of the combined function y=…

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Q: √√3 tan-¹x 4. (10 points) Evaluate SY 1+x2 dx (using substitution).

A: The value of the integral is 7 pi^2 / 288.

Q: For f(x)=cosx+sinx, determine all of the values of x for which f(x)=0

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Q: Given that g(x) + 7x sin(g(x)) = 48x² − 26x — 35 and g(— §) = 0, find g’(− §). g ( − § ) = =

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